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using congruence theorems given: ∠fhg and ∠kjg are right angles; fh ≅ k…

Question

using congruence theorems
given: ∠fhg and ∠kjg are right angles;
fh ≅ kj
prove: △fgh ≅ △kgj

  1. we know that ∠fhg ≅ ∠kjg

because
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image of triangles fgh and kgj with right angles at h and j, and fh ≅ kj marked
check

Explanation:

Step1: Recall Right Angle Congruence

All right angles are congruent. Given \( \angle FHG \) and \( \angle KJG \) are right angles, so by the definition of right angles (each measures \( 90^\circ \)), they must be congruent.

Answer:

all right angles are congruent